Calculate the modulus of rigidity (shear modulus) of an epoxy resin if the modulus of elasticity (Young's modulus) E = 3.5 GPa and the Poisson's ratio = 0.35. Select one: a. G = 1.3 GPa O b. G= 10 GPa c. G = 0.1 GPa Od. G = 3.15 GPa Oe. G = 2.6 GPa
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- In Example Problem 12.1, a uniaxial composite material is made into a circular rod Vbith a 1.27-cm diameter from 70 volume percent continuous carbon fibers and 30 volume percent epoxy. The rod is subject to an axial force of 100,000 N. The composite matcrial in Example Problem 12.1 is to be replaced with a less expensive composite made of 70 volume percent continuous E-glass fibers and 30 volume percent epoxy. The elastic moduli are 5 GPa for the epoxy resin and 72.4 GPa fos the E-glass. (a) Compare the elastic modulus, composite strain, fiber and matrix stresses, and density of this composite with the carbon epoxy composite in Example Problem 12.1. Usc the density of UHM carbon, and assume the density of the epoxy is 1.2g/cm3 . (b) Can both the E-glass fiber and matrix withstand the applied force?A fiber-reinforced polymer composite under isostrain condition consists of 35% fibers and 65% polymer by volume. The moduli of elasticity of the filers and the polymer are 50 X 10 psi and 0.5 x 10® psi, respectively, and the Poison's ratios of the fibers and the polvmer are 0.25 and 0.41, respectively. Calculate the following: a. modulus of elasticitv of the composite. b. percentage of load carried by the fibers c. Poison's ratio of the compositeA composite sample of carbon reinforced epoxy has dimensions of in 20 in x 20 in x 0.135 in and mass of 3 lb. The carbon fibres have a modulus of elasticity of 80(106) lb/in2 and a density of 0.15 lb/in3. The epoxy matrix has modulus of elasticity of 0.90(106) lb/in2 and a density of 0.05 lb/in3. Assume there are no voids in the sample, calculate the volume fraction of: (i) The carbon fibres (ii) The epoxy matrix in the sample.
- A FRP composite includes 47% continuous and aligned Aramid fibers by volume. The moduli of elasticity of the Aramid fibers and the epoxy resin matrix are 19 * 106 psi and 0.6 * 106 psi, respectively.a. Compute the modulus of elasticity of the composite in the longitudinal and transverse directions.b. If the composite cross-sectional area is 0.5 in.2 and a stress of 12 ksi is applied in the longitudinal direction, compute the load carried by the fibers and the matrix.c. Determine the strain sustained by each of the phases when stress in part(b) is applied.A bar having the cross section shown has been formed by securely bonding brass andaluminum stock. Using the data given below, determine the largest permissible bendingmoment when the composite bar is bent about a horizontal axis.A wood specimen was prepared with actual dimensions of 25 mm * 25 mm *150 mm and grain parallel to its length. Displacement was measured over a100 mm gauge length. The specimen was subjected to compression parallel to the grain to failure. The load–deformation results are as shown in Table P10.24. a. Using a computer spreadsheet program, plot the stress–strain relationship.b. Calculate the modulus of elasticity.c. What is the failure stress?
- Problem: In the composite section as shown in figure 1, determine the following.1. The value of x̄2. The value of ȳ3. The moment of inertia with respect to Neutral x-axisTwo steel plates, each 4 in. wide and 0.25 in. thick, reinforce a wood beam that is 3 in. wide and 8 in. deep. The steel plates are attached to the vertical sides of the wood in a position such that the composite shape is symmetric about the z-axis, as shown in the figure. Determine the maximum bending stress produced in both the wood and the steel if a bending moment of Mz = +50 kip-in is applied about the z-axis. Assume Ewood = 2000 ksi and Esteel = 30000 ksi.UPVOTE will be given! Please write the solutions completely and legiby. Box the final answer. Answer in 3 decimal places! Strength of Materials The assembly shown is made up of T-shape steel and two wood as shown. A bending moment M is applied to the composite beam. Given: Es = 200 GPa Ew = 25 GPa M = 90 kN.M h = 200 mm a. Calculate the distance of the centroid from the bottom of the beam in mm. b. Calculate the absolute maximum stress in the wood in MPa.
- A fiber-reinforced polymer composite under isostrain condition consists of 35%fibers and 65% polymer by volume. The moduli of elasticity of the fibers and thepolymer are 260 GPa and 3.4 GPa, respectively, and the Poisson’s ratios of thefibers and the polymer are 0.25 and 0.41, respectively. Calculate the following:a. modulus of elasticity of the composite.b. percentage of load carried by the fibersc. Poisson’s ratio of the compositeAn epoxy is randomly reinforced with E-Glass fibers with 0.0012 in. diameter, 0.5 in. length, 0.5 * 106 psi ultimate tensile strength, and 7.2 ksi shear strength. Does this fiber length fully strengthen the composite? What is the minimum fiber length that would make the composite continuously reinforced?#2: For the composite area shown, calculate the moment of inertia about X and Y axes.